Seminar: Assaf Naor (Princeton University): "Vertical versus horizontal isoperimetry"
Date and Time
April 19, 2022
09:30AM - 09:30AM EDT
Location
https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09
Title: Vertical versus horizontal isoperimetry
Speaker: Assaf Naor (Princeton University)
Abstract: We will explain an isoperimetric-type inequality for subsets of the Heisenberg group that controls the size of the (suitably defined) vertical boundary by the perimeter. This inequality was conceived for a specific application that we will describe, but in the course of its investigation there were twists and turns that unearthed unexpected geometric phenomena and led to further applications to longstanding questions. These will be explained, but the main purpose of this talk is to show the geometric structures that arise in the proof.
Joint work with Robert Young